14457316224 has 256 divisors, whose sum is σ = 42422909760. Its totient is φ = 4335206400.

The previous prime is 14457316217. The next prime is 14457316243. The reversal of 14457316224 is 42261375441.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 59988744 + ... + 59988984.

Almost surely, 2^14457316224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14457316224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21211454880).

14457316224 is an abundant number, since it is smaller than the sum of its proper divisors (27965593536).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

14457316224 is a wasteful number, since it uses less digits than its factorization.

14457316224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 529 (or 517 counting only the distinct ones).

The product of its digits is 161280, while the sum is 39.

The spelling of 14457316224 in words is "fourteen billion, four hundred fifty-seven million, three hundred sixteen thousand, two hundred twenty-four".